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Proof step 47 from proof ushort-band-shift (previous step)

s2i(sho) = 256 * (i * 256 + j0 - 1), i * 256 + j0 < 0, i ≤ 0, ~255 ≤ i * 256 + j0, ~256 +1 = j0 ∨ ~256 +1 < j0, j0 < 0 ⊦ 255 + j0 = (256 * (i + 1) + j0 - 1) % 256, i ≠ 0 ∧ ¬ j0 ≤ ~255

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
s2i(sho) = 256 * (i * 256 + j0 - 1), i * 256 + j0 < 0, i ≤ 0, ~255 ≤ i * 256 + j0, j0 < 0, ~255 = j0 ∨ ~255 < j0 ⊦ 255 + j0 = (256 * (i + 1) + j0 - 1) % 256, i ≠ 0 ∧ ¬ j0 ≤ ~255

Rule argument

Additional information

Used simplifier rules: ⊦ i + j = j + i;